Question

Write an equation of the circle given its center and radius

Answer 1

(x-2)²+ y² = 1 is the equation of given circle.

Explanation:

We have given the center (2,0) and radius r = 1 of a circle.

We have to find the equation of circle.

As we know the equation of circle is :

(x - x₁)² +(y - y₁)² = r²

Where (x₁,y₁) is the center of circle, and r is the radius of the circle.

Putting the value in above equation we get,

(x-2)²+(y-0)² = 1²

(x-2)²+ y² = 1 is the equation of given circle.

Answer 2

y = x²- 4x + 3 + y²

Explanation:

The equation of a circle is given by the formula

(x-a)²+(x-b)² = r²

Where; (a, b) is the center of the circle and r is the radius

Center (2,0) and radius = 1.

Therefore:

(x-2)² +(y+0) = 1²

x²- 4x + 4 + y² = 1

x²- 4x + 3 + y² = 0

Therefore; The equation of the circle is y = x²- 4x + 3 + y²